Hard thermal loops, static response, and the composite effective action

Journal Article · Wed Jun 15 04:00:00 EDT 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.49.6787· OSTI ID:7239083

Jackiw, R; Liu, Q; Lucchesi, C ^[1]

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1. Center for Theoretical Physics, Laboratory for Nuclear Science, Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)

First, we investigate the static non-Abelian Kubo equation. We prove that it does not possess finite energy solutions; thereby we establish that gauge theories do not support hard thermal solitons. This general result is verified by a numerical solution of the equations. A similar argument shows that static'' instantons are absent. In addition, we note that the static equations reproduce the expected screening of the non-Abelian electric field by a gauge-invariant Debye mass [ital m]=[ital gT] [radical]([ital N]+[ital N][sub [ital F]]/2)/3 . Second, we derive the non-Abelian Kubo equation from the composite effective action. This is achieved by showing that the requirement of stationarity of the composite effective action is equivalent, within a kinematical approximation scheme, to the condition of gauge invariance for the generating functional of hard thermal loops.

• DOE Contract Number: AC02-76ER03069
• OSTI ID: 7239083
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 49:12; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

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662230* -- Quantum Chromodynamics-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ACTION INTEGRAL
COMPOSITE MODELS
ELECTRIC FIELDS
GAUGE INVARIANCE
INSTANTONS
INTEGRALS
INVARIANCE PRINCIPLES
KUBO FORMULA
MATHEMATICAL MODELS
NUMERICAL SOLUTION
PARTICLE MODELS
QUASI PARTICLES
SOLITONS